( 5a 3b ) #160; ^ 3 Using ( a b ) #160; ^ 3 =a^3 3ab(a b) b^3 =( 5a ) #160; ^ 3 3( 5a ) ( 3b ) ( 5a 3b ) ( 3b ) ^3 =125a^3 45ab( 5a 3 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Multiplication of Any Polynomial

Expand : 5a ...

Question

Expand :
$(5 a - 3 b)^{3}$

Open in App

Solution

${(5 a - 3 b)}^{3}$
Using ${(a - b)}^{3} = a^{3} - 3 a b (a - b) - b^{3}$
$= {(5 a)}^{3} - 3 (5 a) (3 b) (5 a - 3 b) - {(3 b)}^{3}$
$= 125 a^{3} - 45 a b (5 a - 3 b) - 27 b^{3}$
$= 125 a^{3} - 225 a^{2} b + 135 a b^{2} - 27 b^{3}$
Hence, the answer is $125 a^{3} - 225 a^{2} b + 135 a b^{2} - 27 b^{3} .$

Suggest Corrections